Short answerEasy1 mark
7(c)
Given [[4, 2], [-1, 1]] M = 6I, where M is a matrix and I is unit matrix of order 2×2.
State the order of matrix M.
Topic: Matrices
Previous-year question practice database
Answer
Exam answer
Given:
[[4,2],[−1,1]]M = 6I.
The left multiplier is 2×2 and 6I is 2×2. Therefore M must be 2×2.
Answer: Order of M = 2×2.
Explanation
For a product of a 2×2 matrix with M to be 2×2, M must have two rows and two columns.